SOLUTION: -2 (3 + x) < 4x + 4

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Question 347981: -2 (3 + x) < 4x + 4 < 8x
Found 3 solutions by haileytucki, checkley77, jim_thompson5910:
Answer by haileytucki(390)   (Show Source):
You can put this solution on YOUR website!
-2(3+x)<4x+4<8x
To solve a three part inequality the variable must be located in between the inequality signs.
This inequality cannot be solved.

Answer by checkley77(12844)   (Show Source):
You can put this solution on YOUR website!
-2 (3 + x) < 4x + 4 < 8x
-6-2X<4X+4<8X
-6<2X+4X-8X<-4
-6<-2X<-4
-6/-2>X>-4/-2 [NOTE THE SIGNS CHANGE WHEN DIVIDING BY A NEGATIVE VALUE]
3>X>2 ANS.
PROOF:
LET X=2.5
-2(3+2.5)<4*2.5+4<8*2.5
-2*5.5<10+4<20
-11<14<20

Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website!
The answer is actually

First, break into and .

Next solve each inequality separately to get and

You can combine these answers to get

So the solution to is . This answer has been verified.

SOLUTION: -2 (3 + x) < 4x + 4 < 8x